Mathematics All Around, Books a la carte edition (6th Edition)
6th Edition
ISBN: 9780134462448
Author: Pirnot, Tom
Publisher: PEARSON
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Chapter 9.1, Problem 78E
To determine
To draw:
A diagram such that it contains five lines and ten points of which each line exactly passes through four of ten points.
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Consider the proof below:
Proposition: If m is an even integer, then 5m +4
is an even integer.
Proof: We see that
|5m+4=10n+4
=
2(5n+2). Therefore,
5m+4 is an even integer.
**Note: you may assume the proof is valid, just poorly written.
Based upon the Section 1.3 screencast and the reading assignment, select all
writing guidelines that are missing in the proof.
Proof begins by stating assumptions
✓ Proof has an invitational tone/uses collective pronouns
Proof is written in complete sentences
Each step is justified
☐ Proof has a clear conclusion
Note: The purpose of this problem below is to use computational techniques (Excelspreadsheet, Matlab, R, Python, etc.) and code the dynamic programming ideas seen inclass. Please provide the numerical answer to the questions as well as a sample of yourwork (spreadsheet, code file, etc.).We consider an N-period binomial model with the following properties: N = 60, thecurrent stock price is S0 = 1000; on each period, the stock price increases by 0.5% whenit moves up and decreases by 0.3% when it moves down. The annual interest rate on themoney market is 5%. (Notice that this model is a CRR model, which means that thebinomial tree is recombining.)(a) Find the price at time t0 = 0 of a (European) call option with strike price K = 1040and maturity T = 1 year.(b) Find the price at time t0 = 0 of a (European) put option with strike price K = 1040and maturity T = 1 year.(c) We consider now, that you are at time t5 (i.e. after 5 periods, which represents 1month later). Assume that the stock…
4. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.5.024.
Find the approximations Tη, Mn, and S, to the integral
computer algebra system.)
ASK YOUR TEACHER
PRACTICE ANOTHER
4 39
√
dx for n = 6 and 12. Then compute the corresponding errors ET, EM, and Es. (Round your answers to six decimal places. You may wish to use the sum command on a
n
Tn
Mn
Sp
6
12
n
ET
EM
Es
6
12
What observations can you make? In particular, what happens to the errors when n is doubled?
As n is doubled, ET and EM are decreased by a factor of about
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and Es is decreased by a factor of about
Chapter 9 Solutions
Mathematics All Around, Books a la carte edition (6th Edition)
Ch. 9.1 - In Exercise 18, match each term with the numbered...Ch. 9.1 - In Exercise 18, match each term with the numbered...Ch. 9.1 - In Exercise 18, match each term with the numbered...Ch. 9.1 - In Exercise 18, match each term with the numbered...Ch. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - In Exercise 18, match each term with the numbered...Ch. 9.1 - In Exercises 914, determine whether each statement...Ch. 9.1 - In Exercises 914, determine whether each statement...
Ch. 9.1 - In Exercises 914, determine whether each statement...Ch. 9.1 - In Exercises 914, determine whether each statement...Ch. 9.1 - In Exercises 914, determine whether each statement...Ch. 9.1 - In Exercises 914, determine whether each statement...Ch. 9.1 - Use the given figure to answer Exercises 1518....Ch. 9.1 - Use the given figure to answer Exercises 1518....Ch. 9.1 - Use the given figure to answer Exercises 1518....Ch. 9.1 - Use the given figure to answer Exercises 1518....Ch. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - In Exercises 1924, find the measure of a...Ch. 9.1 - In Exercises 1924, find the measure of a...Ch. 9.1 - In Exercises 1924, find the measure of a...Ch. 9.1 - In Exercises 1924, find the measure of a...Ch. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - In Exercises 2530, find the measures of angles a,...Ch. 9.1 - In Exercises 2530, find the measures of angles a,...Ch. 9.1 - In Exercises 2530, find the measures of angles a,...Ch. 9.1 - Prob. 30ECh. 9.1 - In Exercises 3136, you are given two of the...Ch. 9.1 - In Exercises 3136, you are given two of the...Ch. 9.1 - In Exercises 3136, you are given two of the...Ch. 9.1 - In Exercises 3136, you are given two of the...Ch. 9.1 - In Exercises 3136, you are given two of the...Ch. 9.1 - In Exercises 3136, you are given two of the...Ch. 9.1 - Prob. 37ECh. 9.1 - Continuing the situation from Exercises 3136, use...Ch. 9.1 - Continuing the situation from Exercises 3136, use...Ch. 9.1 - Continuing the situation from Exercises 3136, use...Ch. 9.1 - Prob. 41ECh. 9.1 - In Exercises 4144, solve for x. Assume that lines...Ch. 9.1 - In Exercises 4144, solve for x. Assume that lines...Ch. 9.1 - Prob. 44ECh. 9.1 - Prob. 45ECh. 9.1 - Prob. 46ECh. 9.1 - Prob. 47ECh. 9.1 - Prob. 48ECh. 9.1 - Prob. 49ECh. 9.1 - Prob. 50ECh. 9.1 - Prob. 51ECh. 9.1 - Prob. 52ECh. 9.1 - Prob. 53ECh. 9.1 - Prob. 54ECh. 9.1 - Prob. 55ECh. 9.1 - Prob. 56ECh. 9.1 - In Exercises 57 and 58 find the measure of angle x...Ch. 9.1 - Prob. 58ECh. 9.1 - Prob. 59ECh. 9.1 - Prob. 60ECh. 9.1 - Prob. 61ECh. 9.1 - When a pair of parallel lines is cut by a...Ch. 9.1 - Prob. 63ECh. 9.1 - Prob. 64ECh. 9.1 - Prob. 65ECh. 9.1 - Prob. 66ECh. 9.1 - Prob. 67ECh. 9.1 - Prob. 68ECh. 9.1 - Prob. 69ECh. 9.1 - Prob. 70ECh. 9.1 - Prob. 71ECh. 9.1 - Prob. 72ECh. 9.1 - Prob. 73ECh. 9.1 - Prob. 74ECh. 9.1 - Prob. 75ECh. 9.1 - Prob. 76ECh. 9.1 - Prob. 77ECh. 9.1 - Prob. 78ECh. 9.1 - Prob. 79ECh. 9.1 - Prob. 80ECh. 9.2 - In Exercises 14, state whether each figure is a...Ch. 9.2 - In Exercises 14, state whether each figure is a...Ch. 9.2 - Prob. 3ECh. 9.2 - In Exercises 14, state whether each figure is a...Ch. 9.2 - Prob. 5ECh. 9.2 - Provide a counterexample to each of the statements...Ch. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - We have indicated the measures of the angles of...Ch. 9.2 - Prob. 13ECh. 9.2 - We have indicated the measures of the angles of...Ch. 9.2 - Prob. 15ECh. 9.2 - If we divide a regular octagon into triangles as...Ch. 9.2 - What is the measure of an interior angle of a...Ch. 9.2 - What is the measure of an interior angle of a...Ch. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - An accessibility ramp. A ramp was constructed to...Ch. 9.2 - The Russians erected the worlds largest...Ch. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - The tangram is an ancient Chinese puzzle that...Ch. 9.2 - The tangram is an ancient Chinese puzzle that...Ch. 9.2 - The tangram is an ancient Chinese puzzle that...Ch. 9.2 - Prob. 44ECh. 9.2 - Prob. 45ECh. 9.2 - Prob. 46ECh. 9.2 - Prob. 47ECh. 9.2 - What information do you know about the angles and...Ch. 9.2 - Do an Internet search for architectural disasters...Ch. 9.2 - Prob. 51ECh. 9.2 - Prob. 52ECh. 9.2 - Prob. 53ECh. 9.2 - Prob. 54ECh. 9.2 - Prob. 55ECh. 9.2 - Make up a description of a triangle as we did in...Ch. 9.2 - Prob. 57ECh. 9.2 - Prob. 58ECh. 9.2 - Prob. 59ECh. 9.2 - Prob. 60ECh. 9.2 - Prob. 61ECh. 9.2 - Prob. 63ECh. 9.2 - In building scaffolding, often the scaffolding has...Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 1318, find the area of the shaded...Ch. 9.3 - In Exercises 1318, find the area of the shaded...Ch. 9.3 - In Exercises 1318, find the area of the shaded...Ch. 9.3 - In Exercises 1318, find the area of the shaded...Ch. 9.3 - In Exercises 1318, find the area of the shaded...Ch. 9.3 - In Exercises 1318, find the area of the shaded...Ch. 9.3 - The area of trapezoid ABCD is 54 square feet and...Ch. 9.3 - The area of trapezoid ABCD is 80 square inches....Ch. 9.3 - Prob. 21ECh. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.3 - Prob. 25ECh. 9.3 - Prob. 26ECh. 9.3 - Prob. 27ECh. 9.3 - In Exercises 2730, find the length of side x for...Ch. 9.3 - Prob. 29ECh. 9.3 - Prob. 30ECh. 9.3 - In Exercises 31 and 32, find the area of triangle...Ch. 9.3 - Prob. 32ECh. 9.3 - Prob. 33ECh. 9.3 - Prob. 34ECh. 9.3 - Prob. 35ECh. 9.3 - A geoboard is a board with rows of nails spaced 1...Ch. 9.3 - Prob. 37ECh. 9.3 - Prob. 38ECh. 9.3 - Prob. 39ECh. 9.3 - Prob. 40ECh. 9.3 - In Exercises 4144, state whether perimeter or area...Ch. 9.3 - Prob. 42ECh. 9.3 - Prob. 43ECh. 9.3 - Prob. 44ECh. 9.3 - Prob. 45ECh. 9.3 - Prob. 46ECh. 9.3 - Find the length of line segment AB in the given...Ch. 9.3 - Prob. 48ECh. 9.3 - Prob. 49ECh. 9.3 - Use the following figure to answer Exercises 49...Ch. 9.3 - Prob. 51ECh. 9.3 - Prob. 52ECh. 9.3 - Prob. 53ECh. 9.3 - Prob. 54ECh. 9.3 - Prob. 55ECh. 9.3 - Prob. 56ECh. 9.3 - Prob. 57ECh. 9.3 - Prob. 58ECh. 9.3 - Prob. 59ECh. 9.3 - Prob. 60ECh. 9.3 - Prob. 61ECh. 9.3 - Prob. 62ECh. 9.3 - Prob. 63ECh. 9.3 - Prob. 64ECh. 9.3 - Prob. 65ECh. 9.3 - Prob. 66ECh. 9.3 - Prob. 67ECh. 9.3 - Prob. 68ECh. 9.3 - Prob. 69ECh. 9.3 - Prob. 70ECh. 9.3 - Prob. 71ECh. 9.3 - Prob. 72ECh. 9.3 - Prob. 73ECh. 9.3 - Prob. 74ECh. 9.3 - Prob. 75ECh. 9.3 - Prob. 76ECh. 9.3 - Prob. 77ECh. 9.3 - Prob. 78ECh. 9.3 - Prob. 79ECh. 9.3 - Prob. 80ECh. 9.3 - Prob. 81ECh. 9.3 - Prob. 82ECh. 9.3 - Prob. 83ECh. 9.3 - Prob. 84ECh. 9.3 - Prob. 85ECh. 9.3 - Prob. 86ECh. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 914, find the volume of each figure.Ch. 9.4 - In Exercises 914, find the volume of each figure.Ch. 9.4 - In Exercises 914, find the volume of each figure.Ch. 9.4 - In Exercises 914, find the volume of each figure.Ch. 9.4 - In Exercises 914, find the volume of each figure.Ch. 9.4 - In Exercises 914, find the volume of each figure.Ch. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - Prob. 17ECh. 9.4 - Prob. 18ECh. 9.4 - Prob. 19ECh. 9.4 - Prob. 20ECh. 9.4 - Prob. 21ECh. 9.4 - Prob. 22ECh. 9.4 - Prob. 23ECh. 9.4 - Prob. 24ECh. 9.4 - Prob. 25ECh. 9.4 - Prob. 26ECh. 9.4 - Prob. 27ECh. 9.4 - Prob. 28ECh. 9.4 - Prob. 29ECh. 9.4 - Prob. 30ECh. 9.4 - Prob. 31ECh. 9.4 - Prob. 32ECh. 9.4 - Prob. 33ECh. 9.4 - Prob. 34ECh. 9.4 - Diameter of the moon. Earth has a diameter of...Ch. 9.4 - Prob. 36ECh. 9.4 - Prob. 37ECh. 9.4 - Prob. 38ECh. 9.4 - Prob. 39ECh. 9.4 - Prob. 40ECh. 9.4 - Prob. 41ECh. 9.4 - Prob. 42ECh. 9.4 - Prob. 43ECh. 9.4 - Prob. 44ECh. 9.4 - Prob. 45ECh. 9.4 - Prob. 46ECh. 9.4 - Prob. 47ECh. 9.4 - Prob. 48ECh. 9.4 - Prob. 49ECh. 9.4 - Prob. 50ECh. 9.4 - Prob. 51ECh. 9.4 - Prob. 52ECh. 9.4 - Prob. 53ECh. 9.4 - Prob. 54ECh. 9.4 - If we cut off the top of a cone by making a...Ch. 9.5 - Use Table 9.5 to make the conversions in Exercises...Ch. 9.5 - Use Table 9.5 to make the conversions in Exercises...Ch. 9.5 - Prob. 3ECh. 9.5 - Prob. 4ECh. 9.5 - Prob. 5ECh. 9.5 - Prob. 6ECh. 9.5 - Prob. 7ECh. 9.5 - Prob. 8ECh. 9.5 - Prob. 9ECh. 9.5 - Prob. 10ECh. 9.5 - Prob. 11ECh. 9.5 - Prob. 12ECh. 9.5 - Prob. 13ECh. 9.5 - Prob. 14ECh. 9.5 - Prob. 15ECh. 9.5 - Prob. 16ECh. 9.5 - Prob. 17ECh. 9.5 - Pick the most appropriate measurement for each of...Ch. 9.5 - Prob. 19ECh. 9.5 - Prob. 20ECh. 9.5 - Prob. 21ECh. 9.5 - Prob. 22ECh. 9.5 - Prob. 23ECh. 9.5 - Prob. 24ECh. 9.5 - Prob. 25ECh. 9.5 - Prob. 26ECh. 9.5 - Prob. 27ECh. 9.5 - Prob. 28ECh. 9.5 - Prob. 29ECh. 9.5 - Prob. 30ECh. 9.5 - Prob. 31ECh. 9.5 - Prob. 32ECh. 9.5 - Prob. 33ECh. 9.5 - Prob. 34ECh. 9.5 - Prob. 35ECh. 9.5 - Our monetary system is based on powers of 10 much...Ch. 9.5 - Prob. 37ECh. 9.5 - Prob. 38ECh. 9.5 - Prob. 39ECh. 9.5 - Prob. 40ECh. 9.5 - Prob. 41ECh. 9.5 - Rewrite each statement, replacing the metric...Ch. 9.5 - Prob. 43ECh. 9.5 - Prob. 44ECh. 9.5 - Area of an oriental rug. a. Find the number of...Ch. 9.5 - Prob. 46ECh. 9.5 - Prob. 47ECh. 9.5 - Prob. 48ECh. 9.5 - Prob. 49ECh. 9.5 - Prob. 50ECh. 9.5 - Prob. 51ECh. 9.5 - Prob. 52ECh. 9.5 - Prob. 53ECh. 9.5 - Prob. 54ECh. 9.5 - Prob. 55ECh. 9.5 - Prob. 56ECh. 9.5 - Buying gasoline. If gasoline costs 2.18 per liter...Ch. 9.5 - Prob. 58ECh. 9.5 - Prob. 59ECh. 9.5 - Prob. 60ECh. 9.5 - Prob. 61ECh. 9.5 - Prob. 62ECh. 9.5 - Prob. 63ECh. 9.5 - Prob. 64ECh. 9.5 - Prob. 65ECh. 9.5 - Prob. 66ECh. 9.5 - Prob. 67ECh. 9.5 - Prob. 68ECh. 9.5 - Prob. 69ECh. 9.5 - In the metric system, temperatures are measured on...Ch. 9.5 - Prob. 71ECh. 9.5 - Prob. 72ECh. 9.5 - Prob. 73ECh. 9.5 - Prob. 74ECh. 9.5 - Prob. 75ECh. 9.5 - Prob. 76ECh. 9.5 - Prob. 77ECh. 9.5 - Prob. 78ECh. 9.5 - Prob. 79ECh. 9.5 - Prob. 80ECh. 9.5 - Prob. 81ECh. 9.5 - Prob. 82ECh. 9.5 - Prob. 83ECh. 9.5 - Prob. 84ECh. 9.5 - Prob. 85ECh. 9.5 - Prob. 86ECh. 9.5 - Cost of gasoline in France. Suppose that you are...Ch. 9.5 - Prob. 88ECh. 9.5 - Prob. 89ECh. 9.5 - Prob. 90ECh. 9.6 - Use the following figure for Exercises 14. You may...Ch. 9.6 - Prob. 2ECh. 9.6 - Prob. 3ECh. 9.6 - Prob. 4ECh. 9.6 - Prob. 5ECh. 9.6 - Prob. 6ECh. 9.6 - Prob. 7ECh. 9.6 - Prob. 8ECh. 9.6 - Prob. 9ECh. 9.6 - Prob. 10ECh. 9.6 - Use the following figure for Exercises 1114....Ch. 9.6 - Prob. 12ECh. 9.6 - Prob. 13ECh. 9.6 - Prob. 14ECh. 9.6 - Perform the indicated glide reflection on figure...Ch. 9.6 - Perform the indicated glide reflection on figure...Ch. 9.6 - Prob. 17ECh. 9.6 - Prob. 18ECh. 9.6 - Prob. 19ECh. 9.6 - Prob. 20ECh. 9.6 - Prob. 21ECh. 9.6 - Prob. 22ECh. 9.6 - Prob. 23ECh. 9.6 - Prob. 24ECh. 9.6 - Prob. 25ECh. 9.6 - Prob. 26ECh. 9.6 - Prob. 27ECh. 9.6 - Prob. 28ECh. 9.6 - Prob. 29ECh. 9.6 - Prob. 30ECh. 9.6 - Prob. 31ECh. 9.6 - Prob. 32ECh. 9.6 - Prob. 33ECh. 9.6 - Prob. 34ECh. 9.6 - Prob. 35ECh. 9.6 - Prob. 36ECh. 9.6 - Prob. 37ECh. 9.6 - Prob. 38ECh. 9.6 - Prob. 39ECh. 9.6 - Prob. 40ECh. 9.6 - Prob. 41ECh. 9.6 - Prob. 42ECh. 9.6 - Prob. 43ECh. 9.6 - Prob. 44ECh. 9.6 - Prob. 45ECh. 9.6 - Prob. 46ECh. 9.6 - Prob. 47ECh. 9.6 - Prob. 48ECh. 9.6 - Prob. 49ECh. 9.6 - Prob. 50ECh. 9.6 - Prob. 51ECh. 9.6 - Which of the following types of tessellations can...Ch. 9.6 - Prob. 53ECh. 9.6 - Prob. 54ECh. 9.6 - Prob. 55ECh. 9.6 - Prob. 56ECh. 9.6 - Prob. 57ECh. 9.7 - Prob. 1ECh. 9.7 - Prob. 2ECh. 9.7 - Prob. 3ECh. 9.7 - Prob. 4ECh. 9.7 - Prob. 5ECh. 9.7 - Prob. 6ECh. 9.7 - Prob. 7ECh. 9.7 - Prob. 8ECh. 9.7 - Prob. 9ECh. 9.7 - Prob. 10ECh. 9.7 - Prob. 11ECh. 9.7 - Prob. 12ECh. 9.7 - Prob. 13ECh. 9.7 - Prob. 14ECh. 9.7 - Prob. 15ECh. 9.7 - Prob. 16ECh. 9.7 - How did we argue that the length of the Koch curve...Ch. 9.7 - Prob. 18ECh. 9.7 - Prob. 19ECh. 9.7 - Prob. 20ECh. 9.7 - Prob. 21ECh. 9.7 - Prob. 22ECh. 9.7 - Prob. 23ECh. 9.7 - Prob. 24ECh. 9.7 - Prob. 25ECh. 9.CR - Prob. 1CRCh. 9.CR - Prob. 2CRCh. 9.CR - Prob. 3CRCh. 9.CR - Prob. 4CRCh. 9.CR - Prob. 5CRCh. 9.CR - Prob. 6CRCh. 9.CR - Prob. 7CRCh. 9.CR - Prob. 8CRCh. 9.CR - Prob. 9CRCh. 9.CR - Prob. 10CRCh. 9.CR - Prob. 11CRCh. 9.CR - Prob. 12CRCh. 9.CR - Find the volume of each solid. a bCh. 9.CR - Prob. 14CRCh. 9.CR - Prob. 15CRCh. 9.CR - Prob. 16CRCh. 9.CR - Prob. 17CRCh. 9.CR - Prob. 18CRCh. 9.CR - Prob. 19CRCh. 9.CR - Prob. 20CRCh. 9.CR - Prob. 21CRCh. 9.CR - Prob. 22CRCh. 9.CR - Prob. 23CRCh. 9.CR - Prob. 24CRCh. 9.CR - Prob. 25CRCh. 9.CR - You are given steps 0 and 1 for constructing a...Ch. 9.CT - In the given figure, name each of the following...Ch. 9.CT - Prob. 2CTCh. 9.CT - Prob. 3CTCh. 9.CT - Prob. 4CTCh. 9.CT - Prob. 5CTCh. 9.CT - Prob. 6CTCh. 9.CT - Prob. 7CTCh. 9.CT - Prob. 8CTCh. 9.CT - Prob. 9CTCh. 9.CT - Prob. 10CTCh. 9.CT - Prob. 11CTCh. 9.CT - A pool is surrounded by a brick walkway as shown...Ch. 9.CT - Prob. 13CTCh. 9.CT - Prob. 14CTCh. 9.CT - Prob. 15CTCh. 9.CT - Prob. 16CTCh. 9.CT - Prob. 17CTCh. 9.CT - Prob. 18CTCh. 9.CT - Prob. 19CTCh. 9.CT - Prob. 20CTCh. 9.CT - Prob. 21CTCh. 9.CT - Prob. 22CT
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